Explosions were heard and rockets fell in open territory, an Eshkol Regional Council spokesperson said, cited by the Jerusalem Post.
No injuries or damage have been reported.
Tensions in the area escalated recently after Palestinian militants fired a rocket at the densely populated centre of Israel, which responded by bombing dozens of objects in the Gaza Strip. The armed confrontation lasted from 25 March through 27 March morning.
READ MORE: IDF Says Identified Rocket Launch Into Southern Israel from Gaza
Palestinians are marking the anniversary of the 'Great March of Return' on 30 March with large-scale rallies along the borders of the Gaza Strip.
Fearing that the event will grow into large-scale unrest, the Israelis deployed large forces to the enclave and expressed their readiness for decisive actions.
The protests have been ongoing since 30 March last year. Each week, at least thousands of people from the enclave gather at the border of the Gaza Strip and the tensions often escalate into clashes with Israeli troops.
According to the organizers, over 250 Palestinian protesters were killed in clashes during the year, about 20,000 were injured, more than 15,000 of them were hospitalised.
READ MORE:Palestinian Dies From Head Wound in Gaza Strip Border Clashes — Reports
On March 30, Palestinians celebrate Earth Day in memory of the six Arabs who were killed in 1976 during protests against the expropriation of land by the Israelis.